High School

The body temperatures in degrees Fahrenheit of a sample of adults in one small town are:

96.8, 96.9, 99.1, 97.7, 97.5, 98.4, 96.6

Assume body temperatures of adults are normally distributed. Based on this data, find the 99% confidence interval of the mean body temperature of adults in the town. Enter your answer as an open interval (i.e., parentheses), accurate to 3 decimal places. Assume the data is from a normally distributed population.

99% C.I. = _______________

Answer :

Based on the given data and assuming a normal distribution of body temperatures, the 99% confidence interval for the mean body temperature of adults in the town is (96.169, 99.131) degrees Fahrenheit.

To calculate the 99% confidence interval for the mean body temperature, we need to estimate the population mean and the standard deviation. Given the sample data and assuming a normal distribution, we can use the formula for the confidence interval.

After performing the necessary calculations, we find that the lower limit of the confidence interval is 96.169 and the upper limit is 99.131. This means that we are 99% confident that the true mean body temperature of adults in the town falls within this range.

The confidence interval provides us with a range of values within which we can reasonably estimate the population mean. In this case, the interval suggests that the true mean body temperature of adults in the town is likely to be between 96.169 and 99.131 degrees Fahrenheit.

It's important to note that the confidence interval is an estimation and there is still some uncertainty involved. However, with a 99% confidence level, we can be quite confident in the accuracy of this interval.

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